25724160 has 432 divisors, whose sum is σ = 114791040. Its totient is φ = 5160960.

The previous prime is 25724129. The next prime is 25724161. The reversal of 25724160 is 6142752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25724161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 887026 + ... + 887054.

It is an arithmetic number, because the mean of its divisors is an integer number (265720).

Almost surely, 2^25724160 is an apocalyptic number.

25724160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25724160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57395520).

25724160 is an abundant number, since it is smaller than the sum of its proper divisors (89066880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

25724160 is a wasteful number, since it uses less digits than its factorization.

25724160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 25724160 is about 5071.8990526232. The cubic root of 25724160 is about 295.1982197438.

The spelling of 25724160 in words is "twenty-five million, seven hundred twenty-four thousand, one hundred sixty".